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Ainat [17]
3 years ago
5

Please help! find the value of x in the isosceles triangle shown below. 4 6

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Pythagorean theorem:

6^2 + (4/2)^2 = x^2

36 + 4 = x^2

40 = x^2

x = \sqrt{40}= 2\sqrt{10}

Answer is B

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T<br> |3x°<br> --<br> V<br> W<br> Find the measure of angles T and V.<br> mZT=<br> o<br> mZV=
SIZIF [17.4K]

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

3 0
3 years ago
A taxi service charges you an initial fee of $1.50 plus $1.50 for every mile traveled. A taxi ride costs $21.00. How many miles
Tasya [4]
the taxi driver when driver 5280 feet
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Chelsea and her family are taking a road trip. they leave their home in flowery branch Georgia and drive to Nashville which is 1
sukhopar [10]

(x,y) ... (X-163, Y+125) Which ever direction it is, you apply it to the rule.

7 0
3 years ago
The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and depe
Furkat [3]

Answer:

Independant = onions wight. Dependent = cost.

Step-by-step explanation: The Cost depends on how much the onions weight.

3 0
3 years ago
The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0
3 years ago
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